[en] We investigate the coherent propagation of dilute atomic Bose-Einstein condensates through irregularly shaped billiard geometries that are attached to uniform incoming and outgoing waveguides. Using the mean-field description based on the nonlinear Gross–Pitaevskii equation, we develop a diagrammatic theory for the self-consistent stationary scattering state of the interacting condensate, which is combined with the semiclassical representation of the single-particle Green function in terms of chaotic classical trajectories within the billiard. This analytical approach predicts a universal dephasing of weak localization in the presence of a small interaction strength between the atoms, which is found to be in good agreement with the numerically computed reflection and transmission probabilities of the propagating condensate. The numerical simulation of this quasi-stationary scattering process indicates that this interaction-induced dephasing mechanism may give rise to a signature of weak antilocalization, which we attribute to the influence of non-universal short-path contributions.
Disciplines :
Physics
Author, co-author :
Hartmann, Timo
Michl, Josef
Petitjean, Cyril ; Université de Liège - ULiège > Département de physique > Physique quantique statistique
Wellens, Thomas
Urbina, Juan-Diego
Richter, Klaus
Schlagheck, Peter ; Université de Liège - ULiège > Département de physique > Physique quantique statistique
Language :
English
Title :
Weak localization with nonlinear bosonic matter waves
Publication date :
2012
Journal title :
Annals of Physics
ISSN :
0003-4916
eISSN :
1096-035X
Publisher :
Academic Press, San Diego, United States - California
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